Superstable Models for Short-Duration Large-Domain Wave Propagation

  • Minh Q. Phan
  • Stephen A. Ketcham
  • Richard S. Darling
  • Harley H. Cudney
Conference paper


This paper introduces a superstable state-space representation suitable for modeling short-duration wave propagation dynamics in large domain. The true system dimensions and the number of output nodes can be extremely large, yet one is only interested in the propagation dynamics during a relatively short time duration. The superstable model can be interpreted as a finite-time version of the standard state-space model that is equivalent to the unit pulse response model. The state-space format of the model allows to user to take advantage of extensive state-space based tools that are widely available for simulation, model reduction, dynamic inversion, Kalman filtering, etc. The practical utility of the new representation is demonstrated in modeling the acoustic propagation of a sound source in a complex city center environment.


Sound Source System Matrix Model Reduction Superstable Representation Wave Propagation Problem 
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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Minh Q. Phan
    • 1
  • Stephen A. Ketcham
    • 2
  • Richard S. Darling
    • 3
  • Harley H. Cudney
    • 2
  1. 1.Thayer School of EngineeringDartmouth CollegeHanoverUSA
  2. 2.Engineer Research and Development CenterHanoverUSA
  3. 3.Sound Innovations, Inc.White River JunctionUSA

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